Problems Probability problem

Draw a Heart From a Standard Deck

You draw one card from a standard 52-card deck. What is the probability that it is a heart?

Model guide

Why this probability model fits

This is a basic probability problem because you can count the favourable outcomes directly and divide by the full number of equally likely single-card outcomes.

Setup: A single-card draw has 52 equally likely outcomes, and 13 of them are hearts.

Replacement: Replacement is not part of the setup because only one card is drawn.

Independence: Independence is not needed here because this is a one-draw event.

Worked solution

25%

Exact fraction: 1/4

Decimal: 0.25

The probability is 1/4, which is 25%.

  1. Count the favorable outcomes: 13.
  2. Count the total equally likely outcomes: 52.
  3. Use P(E) = favorable outcomes / total outcomes.
  4. Reduce 13/52 to 1/4.
  5. State the result as 0.25 or 25%.

Interactive tool

Run the same scenario in the calculator

This is a basic probability problem because you can count the favourable outcomes directly and divide by the full number of equally likely single-card outcomes.

Formula

Probability model

P(E) = favorable outcomes / total outcomes

Use the model that matches the setup wording.

Probability

0%

Enter values to calculate.

Exact fraction --
Decimal --

What your result means

The explanation updates with the current inputs.

Calculation work